this is for holding javascript data
Jason R. Green edited Theory.tex
over 9 years ago
Commit id: cdfd849ca3217a20a471cf2a7d8284506ccdf798
deletions | additions
diff --git a/Theory.tex b/Theory.tex
index 5bd4c67..37e6008 100644
--- a/Theory.tex
+++ b/Theory.tex
...
\begin{equation}
k_i(t) \equiv \frac{d}{dt}\frac{1}{S(t)^{i-1}}
\end{equation}
Taking our definitions of the integrated rate law, survival function, and time dependent rate coefficient, we are able to apply them to to second order irreversible decay. The integrated second-order rate law gives the survival function
%\begin{equation}
% C_A(t) = \frac{C_A(0)}{1+\omega tC_A(0)}
%\end{equation}
\begin{equation}
S(t) = \frac{C_A(t)}{C_A(0)} = \frac{1}{1+\omega tC_A(0)}
\end{equation}